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Finding the Fourth Proportional to 147,208.80, 220,829.40 and 53,734.80

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Solution

The fourth proportional to 147,208.80, 220,829.40 and 53,734.80 is: 80,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208.80 : 220,829.40 = 53,734.80 : x
  2. Step 2: Convert to fraction form
    147,208.80/220,829.40 = 53,734.80/x
  3. Step 3: Cross multiply
    147,208.80x = 220,829.40 × 53,734.80
  4. Step 4: Simplify right side
    147,208.80x = 11,866,223,643.12
  5. Step 5: Solve for x
    x = 11,866,223,643.12/147,208.80
  6. Step 6: Final answer
    x = 80,608.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.